piPremeasure_pi_eval — Mathlib

English

For any s, piPremeasure m on the image of s under eval equals piPremeasure m on s.

Русский

Для любого s выполняется piPremeasure m на образе s через eval равен piPremeasure m на s.

LaTeX

$$\piPremeasure(m)(\pi univ (\mathrm{eval}\,\!s)) = \piPremeasure(m)(s)$$

Lean4

theorem piPremeasure_pi_eval {s : Set (∀ i, α i)} : piPremeasure m (pi univ fun i => eval i '' s) = piPremeasure m s :=
  by simp only [eval, piPremeasure_pi']; rfl

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